Ignoring the odds, Jean is sure to get result (5)
I believe the answer is:
ensue
'result' is the definition.
(to ensue is to occur or result)
'ignoring the odds jean is sure' is the wordplay.
'ignoring the odds' means one should take alternating letters (letters in odd-numbered positions are removed).
'jean'+'is'+'sure'='jeanissure'
The alternating letters of 'jeanissure' are 'ENSUE'.
'to get' acts as a link.
(Other definitions for ensue that I've seen before include "Proceed" , "Result in a particular way" , "Come next" , "Happen as consequence or afterward" , "Arise" .)